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A circle is represented by the equation below
(x+2)^2 + (y - 4)^2= 225
Which statement is true?

The circle is centered at (-2,4) and has a radius of 15.

The circle is centered at (2,-4) and has a diameter of 15.

The circle is centered at (2,-4) and has a radius of 15.

The circle is centered at (-2,4) and has a diameter of 15.

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koolkids21

The circle is centered at (−2, 4) and has a radius of 15.

i took the test

A circle represented by the equation (x+2)² + (y - 4)²= 225 is centred at  (-2,4) and has a radius of 15.

The equation of a circle is represented as follows:

Equation of a circle;

  • (x-h)² + (y-k)² = r²

where

(h, k) = centre

r = radius

Therefore, (x+2)² + (y - 4)²= 225 has the following centre and radius.

  • (x+2)² + (y - 4)²= 15²

Then

(h, k) = (-2,  4)

Therefore, the circle is centred at (-2,4) and has a radius of 15

learn more on circle here: https://brainly.com/question/2416003?referrer=searchResults

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